6533b855fe1ef96bd12b0899

RESEARCH PRODUCT

Y-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4

Lucio CentroneAlessio Cirrito

subject

CombinatoricsSettore MAT/02 - AlgebraAlgebra and Number TheoryMathematics::Commutative AlgebraGraded identitiesComputationPolynomial identities graded identitiesTriangular matrixPolynomial identitiesMathematics

description

Abstract Let F be a field of characteristic 0. We consider the upper triangular matrices with entries in F of size 2, 3 and 4 endowed with the grading induced by that of Vasilovsky. In this paper we give explicit computation for the multiplicities of the Y -proper graded cocharacters and codimensions of these algebras.

yearjournalcountryeditionlanguage
2012-10-01Journal of Algebra
10.1016/j.jalgebra.2012.05.019http://dx.doi.org/10.1016/j.jalgebra.2012.05.019